1582420 has 48 divisors (see below), whose sum is σ = 3870720. Its totient is φ = 532224.

The previous prime is 1582409. The next prime is 1582429. The reversal of 1582420 is 242851.

It is a junction number, because it is equal to n+sod(n) for n = 1582391 and 1582400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1582429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12397 + ... + 12523.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

2^1582420 is an apocalyptic number.

1582420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1582420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360).

1582420 is an abundant number, since it is smaller than the sum of its proper divisors (2288300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1582420 is a wasteful number, since it uses less digits than its factorization.

1582420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1582420 is about 1257.9427649937. The cubic root of 1582420 is about 116.5307623823.

It can be divided in two parts, 1582 and 420, that added together give a palindrome (2002).

The spelling of 1582420 in words is "one million, five hundred eighty-two thousand, four hundred twenty".